On the renewal of a Wiener field on a plane with the use of its values on closed curves

  • Т. V. Zemlyak


Forw(u, v), (u, v)∉ γ (here,w(x, y), x≥0, y≥0, is a Wiener field and γ is a certain closed curve on a plane), we construct the best mean-square estimate on the basis of the values ofw(x, y) for (x, y)∈ γ. We also calculate the error of this estimate.
How to Cite
ZemlyakТ. V. “On the Renewal of a Wiener Field on a Plane With the Use of Its Values on Closed Curves”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 6, June 1999, pp. 744–752, https://umj.imath.kiev.ua/index.php/umj/article/view/4661.
Research articles